18731952 has 80 divisors (see below), whose sum is σ = 54341760. Its totient is φ = 6177600.

The previous prime is 18731939. The next prime is 18731981. The reversal of 18731952 is 25913781.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56427 + ... + 56757.

It is an arithmetic number, because the mean of its divisors is an integer number (679272).

Almost surely, 2^18731952 is an apocalyptic number.

18731952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18731952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170880).

18731952 is an abundant number, since it is smaller than the sum of its proper divisors (35609808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18731952 is a wasteful number, since it uses less digits than its factorization.

18731952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 18731952 is about 4328.0425136544. The cubic root of 18731952 is about 265.5793755456.

It can be divided in two parts, 18731 and 952, that added together give a 9-th power (19683 = 3⁹).

The spelling of 18731952 in words is "eighteen million, seven hundred thirty-one thousand, nine hundred fifty-two".